The Sum of Certain Series Related to Harmonic Numbers

Details The Sum of Certain Series Related to Harmonic Numbers The Sum of Certain Series Related to Harmonic Numbers

2010-10-09

arxiv.org/abs/1010.1842v2

Octogon Mathematical Magazine, Vol 19, No 1, April 2011, pp3-18

Mathematics

Classical Analysis and ODEs

Statement of Theorem 3.2 corrected

Scientific paper

In this paper, we consider three families of numerical series with general
terms containing the harmonic numbers, and we use simple methods from classical
and complex analysis to find explicit formulas for their respective sums.

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